document.write( "Question 176207: Solve using elimination method please.
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\n" ); document.write( "-6x+y=0
\n" ); document.write( "9x-12y=2
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\n" ); document.write( "please solve ending with ordered pair please. thank you!!
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Algebra.Com's Answer #131299 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Start with the given system of equations:\r
\n" ); document.write( "\n" ); document.write( "\"system%28-6x%2By=0%2C9x-12y=2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"12%28-6x%2By%29=12%280%29\" Multiply the both sides of the first equation by 12.\r
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\n" ); document.write( "\n" ); document.write( "\"-72x%2B12y=0\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "So we have the new system of equations:\r
\n" ); document.write( "\n" ); document.write( "\"system%28-72x%2B12y=0%2C9x-12y=2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:\r
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\n" ); document.write( "\n" ); document.write( "\"%28-72x%2B12y%29%2B%289x-12y%29=%280%29%2B%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-72x%2B9x%29%2B%2812y%2B-12y%29=0%2B2\" Group like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"-63x%2B0y=2\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"-63x=2\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%282%29%2F%28-63%29\" Divide both sides by \"-63\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=-2%2F63\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"-72x%2B12y=0\" Now go back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"-72%28-2%2F63%29%2B12y=0\" Plug in \"x=-2%2F63\".\r
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\n" ); document.write( "\n" ); document.write( "\"16%2F7%2B12y=0\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"7%2816%2Fcross%287%29%2B12y%29=7%280%29\" Multiply both sides by the LCD \"7\" to clear any fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"16%2B84y=0\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"84y=0-16\" Subtract \"16\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"84y=-16\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-16%29%2F%2884%29\" Divide both sides by \"84\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=-4%2F21\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=-2%2F63\" and \"y=-4%2F21\"\r
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\n" ); document.write( "\n" ); document.write( "which form the ordered pair
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